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Finding the Fourth Proportional to 680.85, 1,021.12 and 193.77

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Solution

The fourth proportional to 680.85, 1,021.12 and 193.77 is: 290.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.85 : 1,021.12 = 193.77 : x
  2. Step 2: Convert to fraction form
    680.85/1,021.12 = 193.77/x
  3. Step 3: Cross multiply
    680.85x = 1,021.12 × 193.77
  4. Step 4: Simplify right side
    680.85x = 197,862.42
  5. Step 5: Solve for x
    x = 197,862.42/680.85
  6. Step 6: Final answer
    x = 290.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.